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Finding the Fourth Proportional to 338.90, 467.66 and 191.50

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Solution

The fourth proportional to 338.90, 467.66 and 191.50 is: 264.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.90 : 467.66 = 191.50 : x
  2. Step 2: Convert to fraction form
    338.90/467.66 = 191.50/x
  3. Step 3: Cross multiply
    338.90x = 467.66 × 191.50
  4. Step 4: Simplify right side
    338.90x = 89,556.89
  5. Step 5: Solve for x
    x = 89,556.89/338.90
  6. Step 6: Final answer
    x = 264.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.